What is the derivative of (sec(x))^3 ?

The derivative of (sec(x))^3 is 3sec^3(x)tan(x)

What is the first derivative of (sec(x))^3 ?

The first derivative of (sec(x))^3 is 3sec^3(x)tan(x)

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derivative of

(sec (x))^{3}

3 sec^{3} (x) tan (x)

Solution steps

\frac{d}{d x} ((sec (x))^{3})

Apply the chain rule:

3 (sec (x))^{2} \frac{d}{d x} (sec (x))

= 3 (sec (x))^{2} \frac{d}{d x} (sec (x))

\frac{d}{d x} (sec (x)) = sec (x) tan (x)

= 3 (sec (x))^{2} sec (x) tan (x)

Simplify

3 sec^{2} (x) sec (x) tan (x) : 3 sec^{3} (x) tan (x)

= 3 sec^{3} (x) tan (x)

\int \frac{e ^{x}}{( e ^{x} - 8 ) ( e ^{2 x} + 1 )} d x

x \to \infty lim (3 + \frac{5}{x})

\frac{\partial}{\partial x} (\frac{d}{t})

\int_{0}^{5} ∣ 5 x - 10 ∣ d x

y^{^{'}} = 3 x (y - 1)^{\frac{1}{3}}

What is the derivative of (sec(x))^3 ?
The derivative of (sec(x))^3 is 3sec^3(x)tan(x)
What is the first derivative of (sec(x))^3 ?
The first derivative of (sec(x))^3 is 3sec^3(x)tan(x)